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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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4489133177 · Jun 202019922001200920172026
48 results for Word Shuffle Noise

Paper proves privacy guarantees for shuffled and online PNSGD, reducing noise over time.

problem Privacy amplification in shuffled and online PNSGD settings.
method Iterative analysis of PNSGD with hidden updates, proving privacy guarantees for shuffled and online settings.
result Privacy guarantees for shuffled and online PNSGD with reduced noise over time.

The paper analyzes the variance of different shuffling methods in stochastic gradient descent.

problem Understanding the variance of different shuffling methods in stochastic gradient descent.
method Power spectral density analysis to study the noise sequences of stochastic gradients.
result The stationary variances of iterates decrease in the order of SGD, SGD-RR, and SGD-SO.

Optimizer memory affects learning rate sensitivity in shuffle order, impacting fine-tuning noise.

problem Optimizer memory affects the learning rate sensitivity in shuffle order, leading to fine-tuning noise.
method Isolated the mechanism of fixed-clock optimizer memory affecting the learning rate sensitivity in shuffle order, deriving a fit-free way to size the noise.
result Fixed-clock optimizers like AdamW produce a larger first-order noise channel compared to memoryless optimizers, affecting fine-tuning comparisons.

Study phase transitions in shuffled regression problems.

problem Phase transitions in shuffled regression problems.
method Transformed permutation recovery into probabilistic graphical model, used message passing (MP) algorithm and branching random walk process.
result Characterized impact of signal-to-noise-ratio ($\snr$) on permutation recovery, proposed Gaussian approximation method.

Paper tackles sparse recovery with shuffled labels, establishing statistical and computational limits.

problem Sparse recovery with shuffled labels, focusing on permutation matrix and sparse signal reconstruction.
method Statistical and computational analysis, including minimax lower bounds and exhaustive-search based estimator.
result Established statistical and computational limits for correct recovery of permutation matrix and support set.

Unified framework for word embedding models using noise examples.

problem Improving word embedding models with negative sampling.
method Formulated a Word-Context Classification (WCC) framework that generalizes SkipGram word embedding models.
result The best noise distribution is the data distribution, improving both performance and training speed.

The paper proposes an efficient estimator for linear regression with shuffled labels.

problem Linear regression with shuffled labels, focusing on sensing results and corresponding information.
method A one-step estimator to reconstruct (Π,B)(\mathbf Π, \mathbf B) from Y\mathbf Y and X\mathbf X.
result Sufficient conditions for correct permutation recovery under different regimes of signal-to-noise ratio (snr).

The paper explores how low-degree polynomials can detect shuffled linear regression models.

problem Detecting multivariate shuffled linear regression models from independent Gaussian random matrices.
method Investigates the effectiveness of low-degree polynomial algorithms for distinguishing the model from independent Gaussian random matrices.
result Establishes a phase transition phenomenon in the performance of low-degree polynomial algorithms for distinguishing the model.

Develops shuffling gradient-based methods for nonconvex-concave minimax optimization.

problem Nonconvex-concave minimax optimization problems.
method Two shuffling gradient-based algorithms for nonconvex-linear and nonconvex-strongly concave settings.
result Achieves state-of-the-art oracle complexity in nonconvex optimization and best-known complexity bounds for nonconvex-strongly concave setting.

A new algorithm improves convergence rates for convex optimization problems.

problem Convex optimization problems with finite-sum structure.
method Nesterov Accelerated Shuffling Gradient (NASG) integrating Nesterov's acceleration with different shuffling schemes.
result Improved convergence rate of O(1/T) for unified shuffling schemes.

A new Gaussian mechanism for differential privacy in the shuffle model is introduced.

problem Improving differential privacy in distributed learning environments.
method Characterization and upper-bounding of Rényi differential privacy (RDP) for the shuffle Gaussian mechanism.
result The shuffle Gaussian mechanism provides improved privacy guarantees compared to existing methods.

Improves privacy amplification by shuffling for differential privacy.

problem Enhancing privacy guarantees in systems with anonymous data contributions.
method Theoretical and numerical analysis of Rényi differential privacy parameters and privacy amplification by shuffling.
result First asymptotically optimal analysis of Rényi differential privacy parameters for shuffled outputs.

Paper proposes a method to handle linear regression with partially shuffled data.

problem Linear regression with mismatched predictors and responses.
method Pseudo-likelihood approach based on two-component mixture densities with EM optimization.
result The method can tolerate larger fractions of mismatches and estimate noise level.

New shuffling methods improve convergence without Lipschitz smoothness.

problem Lack of convergence guarantees for shuffling methods under non-Lipschitz conditions.
method Revisit shuffling methods, prove convergence under general bounded variance condition.
result Matched current best-known convergence rates without Lipschitz smoothness.

This work studies differential privacy in the context of the recently proposed shuffle model. Unlike in the local model, where the server collecting privatized data from users can track back an input to a specific user, in the shuffle model users submit their privatized inputs to a server anonymously. This setup yields…

2019-03-07abs ↗pdf ↗

A new method resolves permutation issues in shuffled linear regression for large-scale applications.

problem Estimating latent features through linear transformation with unknown permutations.
method Spectral matching method to align spectral components of measurement and feature covariances.
result Achieves accurate estimates in shuffled LS and LASSO settings with sufficient samples.

BUDS balances privacy and utility by shuffling data, achieving strong privacy with minimal loss.

problem Balancing privacy and utility in crowd-sourced statistical databases.
method One-hot encoding, iterative shuffling, loss estimation, risk minimization.
result Achieves ε=0.02ε= 0.02 for privacy, maintaining a privacy bound of ε=ln[t/((n11)S)]ε= ln [t/((n_1 - 1)^S)].

New convergence rates for shuffling gradient methods without strong convexity.

problem Theoretical gap between shuffling gradient methods' empirical success and established convergence rates.
method Proved last-iterate convergence rates for shuffling gradient methods using function value gap.
result First last-iterate convergence rates for shuffling gradient methods without strong convexity.

New defense method inspired by encryption improves visual classification accuracy.

problem Conventional defenses reduce accuracy and are defeated by obfuscated gradients.
method Block-wise pixel shuffling with secret key for training and test images.
result Achieves high accuracy (91.55%) on clean images and (89.66%) on adversarial examples.

New convergence bounds for shuffling-based SGD methods in distributed learning.

problem Analyzing the performance of shuffling-based variants of SGD in distributed learning.
method Study of minibatch and local Random Reshuffling methods, proving convergence bounds and lower bounds.
result Shuffling-based variants converge faster than with-replacement sampling methods, and the bounds are tight.

The so-called level crossing analysis has been used to investigate the empirical data set. But there is a lack of interpretation for what is reflected by the level crossing results. The fractional Gaussian noise as a well-defined stochastic series could be a suitable benchmark to make the level crossing findings more s…

2011-12-07abs ↗pdf ↗

Proposes methods to recover labels from shuffled networks using graph averages.

problem Recovering labels from a shuffled network using graph averages.
method Cluster networks into classes, then match the new graph to cluster-averages, minimizing the graph matching objective function.
result Higher fidelity matching performance when clustering networks into different classes.

An exciting new development in differential privacy is the shuffled model, in which an anonymous channel enables non-interactive, differentially private protocols with error much smaller than what is possible in the local model, while relying on weaker trust assumptions than in the central model. In this paper, we stud…

2019-08-29abs ↗pdf ↗

Improved shuffling technique amplifies privacy guarantees for anonymous data contributions.

problem Enhancing privacy in systems where data is contributed anonymously.
method Developed a new approach to random shuffling that amplifies differential privacy guarantees.
result Achieved asymptotically optimal privacy amplification with nearly optimal dependence in ε.

Improved shuffling gradient methods converge faster for nonsmooth convex optimization.

problem Improving convergence rates for nonsmooth convex optimization problems.
method Analysis of shuffling gradient methods, focusing on Random Reshuffle and Single Shuffle strategies.
result Shuffling gradient methods, particularly Random Reshuffle and Single Shuffle, converge faster than Proximal Gradient Descent for nonsmooth convex optimization.

Proposes a text perturbation method using a Mahalanobis metric to balance privacy and utility.

problem Low utility of text analysis when using spherical noise for privacy-preserving text embedding.
method Regularized Mahalanobis metric to add elliptical noise, accounting for embedding space density.
result Improves privacy statistics while maintaining utility, outperforming Laplace mechanism.

New neural model processes 2D data with long-range dependencies efficiently.

problem Limited receptive field of convolutions for complex 2D tasks.
method Proposes Matrix Shuffle-Exchange network with O(logn)\mathcal{O}( \log{n}) layers and O(n2logn)\mathcal{O}( n^2 \log{n}) complexity.
result Exceeds convolutional and graph neural network baselines in long-range dependency modeling.

We study the performance of stochastic gradient descent (SGD) on smooth and strongly-convex finite-sum optimization problems. In contrast to the majority of existing theoretical works, which assume that individual functions are sampled with replacement, we focus here on popular but poorly-understood heuristics, which i…

2019-07-31abs ↗pdf ↗

The multivariate linear regression model with shuffled data and additive Gaussian noise arises in various correspondence estimation and matching problems. Focusing on the denoising aspect of this problem, we provide a characterization the minimax error rate that is sharp up to logarithmic factors. We also analyze the p…

2017-04-24abs ↗pdf ↗

In recent work, Cheu et al. (Eurocrypt 2019) proposed a protocol for nn-party real summation in the shuffle model of differential privacy with Oε,δ(1)O_{ε, δ}(1) error and Θ(εn)Θ(ε\sqrt{n}) one-bit messages per party. In contrast, every local model protocol for real summation must incur error Ω(1/n)Ω(1/\sqrt{n}), and there exist …

2019-06-20abs ↗pdf ↗

Power of network tests degrades when vertices are misaligned.

problem Power loss in network hypothesis testing due to vertex shuffling.
method Theoretical analysis and simulations of Frobenius norm differences in random dot product and stochastic block models.
result Shuffling vertices can significantly reduce the power of network tests.

We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or permuted during the protocol. In this work, we propose a framework that treats the un…

2018-04-02abs ↗pdf ↗

The paper presents a method to preserve privacy in text analysis using calibrated noise.

problem Accurately learning from user data while maintaining privacy.
method Calibrated multivariate perturbations applied to word embeddings to achieve geo-indistinguishability.
result The method provides better privacy guarantees than baseline models with minimal utility loss.

Sampling without replacement speeds up optimization in minimax problems.

problem Optimizing minimax problems with faster convergence rates.
method Analysis of gradient descent ascent and proximal point method with two sampling strategies.
result Sampling without replacement leads to faster convergence rates in minimax optimization.